What is the Least Common Multiple of 26988 and 27001?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 26988 and 27001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26988 and 27001, than apply into the LCM equation.

GCF(26988,27001) = 13
LCM(26988,27001) = ( 26988 × 27001) / 13
LCM(26988,27001) = 728702988 / 13
LCM(26988,27001) = 56054076

Least Common Multiple (LCM) of 26988 and 27001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26988 and 27001. First we will calculate the prime factors of 26988 and 27001.

Prime Factorization of 26988

Prime Factorization of 27001

Now multiplying the highest exponent prime factors to calculate the LCM of 26988 and 27001.

LCM(26988,27001) = 2² × 3¹ × 13¹ × 173¹ × 31¹ × 67¹
LCM(26988,27001) = 56054076